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Example7Force between Magnet and Electromagnet

General

• In this exercise, a magnet is placed near the electromagnet used in the Exercise 6.

• The electromagnetic force, the current density, and the vectors of magnetic field and the magnetic flux density are solved.

• This exercise can be solved by axisymmetric analysis as well. See Exercise 25.
The number of meshes is much less with axisymmetric models, so the simulation time is shorter.

• Unless specified in the list below, the default conditions will be applied.

Analysis Space

 Item Settings Analysis Space 3D Model unit mm

Analysis Conditions

 Item Settings Solver Magnetic Field Analysis [Gauss] Analysis Type Static analysis Options N/A

Model

A cylindrical magnet is placed on top of the magnetic core of the electromagnet used in the Exercise 6.

Mesh size is set at 1[mm] as the magnetic field changes drastically between the magnets.

• Set the gap between the bodies and mesh size properly to obtain valid calculation results.
See [Calculation of the Electromagnetic Force] for more details.

Body Attributes and Materials

 Body Number/Type Body Attribute Name Material Name 0/Solid Core Core 4/Solid Coil 008_Cu * 3/Solid Mag Mag

* Available from the Material DB

The material properties are set up as follows:

 Material Name Tab Properties Mag Permeability Material Type: Permanent Magnet Magnet Magnetization Strength: 0.5 Core Permeability Relative Permeability 5×10^3

Body attribute is set up as follows to apply current to the loop coil.

 Body Attribute Name Tab Settings Coil Current Waveform: Constant Current: 1[A] Turns: 100[Turns] Direction: Loop Coil/Magnetic Field Direction: Magnetic Field Vector: X=0, Y=0, Z=1

No setting.

Results

To see the electromagnetic force, go to the [Results] tab

and click [Table] .

Two magnets are pulling each other with the approximate force of 1.2[N] in the Z direction.

Shown below are the vectors of the current density flowing through the loop coil.

The vectors of the magnetic field are shown below.

The vectors of the magnetic flux density are shown below.

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